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Finding the Fourth Proportional to 812.89, 1,217.49 and 487.63

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Solution

The fourth proportional to 812.89, 1,217.49 and 487.63 is: 730.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.89 : 1,217.49 = 487.63 : x
  2. Step 2: Convert to fraction form
    812.89/1,217.49 = 487.63/x
  3. Step 3: Cross multiply
    812.89x = 1,217.49 × 487.63
  4. Step 4: Simplify right side
    812.89x = 593,684.65
  5. Step 5: Solve for x
    x = 593,684.65/812.89
  6. Step 6: Final answer
    x = 730.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.